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Finding the Fourth Proportional to 511,432.57, 705,620.32 and 296,529.49

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Solution

The fourth proportional to 511,432.57, 705,620.32 and 296,529.49 is: 409,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,432.57 : 705,620.32 = 296,529.49 : x
  2. Step 2: Convert to fraction form
    511,432.57/705,620.32 = 296,529.49/x
  3. Step 3: Cross multiply
    511,432.57x = 705,620.32 × 296,529.49
  4. Step 4: Simplify right side
    511,432.57x = 209,237,233,623.24
  5. Step 5: Solve for x
    x = 209,237,233,623.24/511,432.57
  6. Step 6: Final answer
    x = 409,119.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.